THIS RESOURCE IS ONLY AVAILABLE TO LOGGED IN USERS. PLEASE LOGIN AND TRY AGAIN. WE APOLOGIZE BUT THIS RESOURCE IS NOT AVAILABLE TO YOU. PLEASE READ BELOW FOR MORE INFORMATION. Resource ID#: 131400Primary Type: Lesson Plan
Real-life data helps students gain a better understanding of creating dot-plot and/or two-way tables. Students will collect data at the beginning of the lesson and use that data to create double dot plots and frequency tables, finding and interpreting relative frequencies.
The assignment allows students to work collaboratively and cooperatively in groups. They will communicate within groups to compare shoes sizes and ages to acquire their data. From the collection of data they should be able to predict, analyze and organize the data into categories (two-way tables) or place on a number line (dot-plot).
As the class assignment concludes, a discussion of the final class display should take place about the purchasing of shoes versus ages and the relationship that either exists or doesn't exist.
Learning Objectives: What should students know and be able to do as a result of this lesson?
Students will construct a dot plot from data collected.
Students will categorize/classify the data to organize it in a two-way table.
Students will interpret and describe relative frequencies and possible associations from a two-way table.
Students will compose and order steps in a Math Journal used to create table and plot.
Students will use a Venn diagram to compare/contrast dot-plot and two-way table.
Prior Knowledge: What prior knowledge should students have for this lesson?
Students will need to know:
How to solve problems using percent.
How to convert between fractions, decimals, and percent.
Guiding Questions: What are the guiding questions for this lesson?
Does your shoe size relate to your age?
How can we represent data on both a dot plot and two-way frequency table?
What associations can we find in a relative frequency table?
Teaching Phase: How will the teacher present the concept or skill to students?
Introduction of Lesson (PowerPoint Presentation)
The teacher will introduce opening questions: Does your shoe size relate to your age? Will a classmate the same age wear the same shoe size as you? Do you think that as your age changes, your shoe size will change also?
Discuss and introduce the concept of dot plots and two-way table as a display of viewing shoe size and age.
Show an example of dot-plot (teacher-led making of dot-plot).
Show an example of two-way frequency table and relative frequency table (identify parts).
Demonstrate how to do calculations for columns, rows and totals (fractions, percentage, decimals).
Perform Guided Practice activity (on PowerPoint).
Practice data (Independent Practice worksheet)
Summary of Lesson (Journal Writing)
Guided Practice: What activities or exercises will the students complete with teacher guidance?
Do you know the measurement of your partner's shoe size?
Compare your partner's age and shoe size.
Do most of the students your age have the same shoe size?
What percentages of students have the same shoe size?
Activities and Exercises:
Students are in groups of twos. Each will measure the other partner's shoe length.
Guess the partner's shoe size (write down)
Ask the partner's age (write down)
Measure the partner's shoe with measuring tape from back heel to front sole of the shoe (write down)
Create a dot plot with data collected with the measuring tape. Compare data (clustered, skewed, etc.)
Construct a two-way table and then a relative frequency table with the data collected.
The teacher will guide students of the techniques of creating a two-way table and dot plot. They will be given steps on how to label and create intervals for the data.
Independent Practice: What activities or exercises will students complete to reinforce the concepts and skills developed in the lesson?
Students will use provided data to create a relative frequency table and answer questions on the worksheet that will require them to interpret relative frequencies. (See attachment)
Closure: How will the teacher assist students in organizing the knowledge gained in the lesson?
At the end of the lesson, students will:
Complete a worksheet with a Venn diagram (Exit Ticket)
Summarize the lesson in math journal
Compare and contrast dot plot and two-way table. Explain steps needed for both.
Explain how to calculate relative frequency and marginal frequency.
Which better displayed the data, the dot plot or two-way table? Explain.
The Summative Assessment worksheet (attached) can be completed either at the end of class or for homework.
Students will be assessed on their skills of how to use data to create a dot plot and a two-way table.
Students will demonstrate effective percent, fraction, and decimal conversion skills.
Each student will translate creating dot plot and two-way table form into outlined steps in their mathematical journal.
Students will be monitored by the teacher throughout the lesson.
The PowerPoint presentation opens with a discussion question, "What is the frequency that classmates of the same age also wear the same size shoe?"
While students collect data from each other, the teacher will assist with using the measuring tape to measure each student's foot. The teacher will decide prior to the lesson which shoe (right or left) to measure so that each group measures the same side.
Before students begin, vocabulary words will be displayed via PowerPoint. They will use mathematical terminology to describe such terms as relative frequencies, cluster, range, etc.
At the end of the lesson, the teacher will as a summary ensure students understand the lesson by writing in journal steps needed to create the dot plot and two-way table.
Accurately create a two-way table with appropriate titles, labels, cell values and totals (Guided Practice)
Accurately change collected data to relative frequencies by using fractions, decimals or percent values (Independent Practice)
Distinguish between dot-plot and two-way table (Summative Assessment and Exit Ticket)
Feedback to Students
Students will get feedback during the process of project of creating dot plot and two-way table. The feedback will be used for immediate correction during setup of dot plot and two-way table. They will be assisted in using the correct procedures/techniques to calculate data and the drawing of data organizers.
Open discussion of terms before beginning the assignment to check for understanding of terms
Have students show data of measured shoes
Routinely check student data to verify placement in the correct columns and rows
Check and monitor calculations, showing student formulas to find percentages, decimals, and fractions
Accommodations & Recommendations
Students will be given a pre-made number line and frequency table on the worksheet that will just need to be filled in.
To accommodate all students, each will be assigned a task in the group before assignment begins.
Students may read the article "Shoe Size Tells How Long You'll Live" from the fictional tabloid The Weekly World News and write two paragraphs explaining why they think this is or is not a valid association.
Suggested Technology: Computer for Presenter, Computers for Students, Internet Connection, Basic Calculators, LCD Projector, Scientific Calculator
Special Materials Needed:
Measuring tape (metric and U.S. customary units)
Rulers (for drawing straight lines)
Plastic gloves (optional)
Have an open discussion about real-world data that may be used to create dot plots and two-way tables.
Source and Access Information
Name of Author/Source: Phyllis Kirkland
District/Organization of Contributor(s): Miami-Dade